Bäcklund transformation for the Krichever-Novikov equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

The B\"acklund transformation and its nonlinear superposition principle are
presented for the Krichever-Novikov equation $u_t= u_{xxx} - {3/(2u_x)}
(u^2_{xx} - r(u)) + cu_x, r^{(5)}=0$.

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